Capacity and kinetics of light-induced cytochrome oxidation in intact cells of photosynthetic bacteria

Light-induced oxidation of the reaction center dimer and periplasmic cytochromes was detected by fast kinetic difference absorption changes in intact cells of wild type and cytochrome mutants (cycA, cytC4 and pufC) of Rubrivivax gelatinosus and Rhodobacter sphaeroides. Constant illumination from a laser diode or trains of saturating flashes enabled the kinetic separation of acceptor and donor redox processes, and the electron contribution from the cyt bc1 complex via periplasmic cytochromes. Under continuous excitation, concentrations of oxidized cytochromes increased in three phases where light intensity, electron transfer rate and the number of reduced cytochromes were the rate liming steps, respectively. By choosing suitable flash timing, gradual steps of cytochrome oxidation in whole cells were observed; each successive flash resulted in a smaller, damped oxidation. We attribute this damping to lowered availability of reduced cytochromes resulting from both exchange (unbinding/binding) of the cytochromes and electron transfer at the reaction center interface since a similar effect is observed upon deletion of genes encoding periplasmic cytochromes. In addition, we present a simple model to calculate the damping effect; application of this method may contribute to understanding the function of the diverse range of c-type cytochromes in the electron transport chains of anaerobic phototrophic bacteria.

Cytochromes can also be quantified by determination of difference spectra for chemically reduced (ascorbate) minus oxidized (ferricyanide) cytochromes in chromatophores, as shown in Fig. 1B. However, with this method, all soluble and membrane-bound c-type cytochromes contribute to the observed spectrum. Since there is uncontrolled loss of cytochromes during the preparation (sonication and ultracentrifugation) of the chromatophores, the comparison of these data with the flash-induced data is difficult. We note that wild-type Rba. sphaeroides exhibits the 551-nm absorbance band characteristic of c-type cytochromes. However, neither its single (cycA) nor its double (cycA cytC4) cytochrome-less mutants exhibit a detectable absorbance feature around 551 nm, suggesting that the c-type cytochrome production was prevented in these strains.
(2) Cytochrome oxidation under continuous (laser diode) illumination. The kinetics and capacity of oxidation of cytochrome c by the light-oxidized RC dimer (P + ) can be determined in intact cells if the bacteria are exposed to excitation by a laser diode of appropriately high intensity. Upon focusing a laser with of 802 nm wavelength and 2 W power on a 1 × 1 mm 2 spot of a culture of whole cells of Rvx. gelatinosus, the monotonous increase of the amount of the observed oxidized cytochrome c occurs in three distinct kinetic phases ( Fig. 2A). The initial rise follows the primary photochemical charge separation PQ A → P + Q A ─ and P + is immediately rereduced by one of the hemes in the bound tetraheme cytochrome subunit. Thus, the rate constant of this phase (the slope of the straight line, 1.5·10 4 cyt c 3+ /RC/s) is controlled by the light intensity.
The second linear segment describes the stationary accumulation of the oxidized cytochromes whose rate constant (3.0·10 3 cyt c 3+ /RC/s) is limited not by the light intensity but by the rate constant of the cyclic electron transfer around the RC. The rate of the cyclic electron transfer depends also on the light intensity (see Fig. S2) www.nature.com/scientificreports/ but this dependence is weaker than in the case of the charge separation (the initial phase, described above). Therefore, a clear breakpoint separates these two straight lines since they have different slopes. The linearity of this phase remains as long as the availability of reduced cytochromes on the donor side is assured (for about 1 ms in our case), during which time cyclic electron flow occurs with a constant rate. However, the pool of reduced cytochrome c starts to be exhausted later (about 10 ms); the rate constant decreases (50 cyt c 3+ /RC/s), and the kinetics become saturated. The saturation level can be substantially larger than 3 cyt c 2 3+ /RC indicating the existence of a large pool of reduced cytochromes and the possibility of several turnovers of the RC. In strains where the pool size is significantly smaller, the saturation at the same light intensity occurs earlier. In Rba. sphaeroides, where no attached cytochrome subunit with four heme groups exists, this saturation can be observed within 1 ms (Fig. 2B). The photooxidation of all strains is limited to 1 cyt c 3+ /RC if the interquinone electron transfer is blocked by the inhibitor terbutryne. The pufC strain of Rvx. gelatinosus, in which the gene encoding the RC-attached cytochrome subunit is deleted, demonstrates low level of photooxidation probably due to cytochromes binding alternatively to the RC ( Fig. 2A). The analysis of cytochrome oxidation kinetics upon continuous strong light excitation shed light on the size of the cytochrome pool and of the availability of the cytochromes to reduce P + .
(3) Flash-induced cytochrome oxidation steps. Although the investigation of the complex kinetics of cytochrome oxidation under continuous illumination has technically modest difficulty, the evaluation is limited by several complications. The duration of light excitation may coincide with or exceed the turnover times of both the reaction center and the periplasmic cytochromes. This means multiple cycles are possible within the illumination, and therefore, that the evaluation of these results should accommodate the kinetics of exchange of quinones and electrons with the RC and the cytochrome bc 1 complex, respectively. The observed kinetics are a mixture of electron transfer properties from both the acceptor and donor sides. For example, if the electron flow on the acceptor side is not fast enough, this could limit the observed electron flow attributed to the donor side. Thus, the separation of the cytochrome oxidation from acceptor side effects is not straightforward. These obstacles can be largely avoided by choosing an appropriate sequence of saturating flashes for excitation.
The proportion of oxidized cytochromes during three subsequent saturating flashes increases in a steplike function in the millisecond timescale (Fig. 3). The level of oxidized cytochromes in intact cells of Rvx. gelatinosus after 3 flashes approaches the limit of 3 cyt c 3+ /RC indicating that there is a large pool of reduced cytochromes available. In Rba. sphaeroides 2.4.1, the pool is somewhat smaller, and fewer oxidized cytochromes are so generated.
The absorption changes are abrupt after all flashes (the rise cannot be resolved in this time scale) indicating a very fast oxidation of the cytochromes independent of the flash number. The step form includes a stable state i.e., no significant further rise or decline immediately after the flash can be observed. There is no sign of slower oxidation/re-reduction that might originate from cytochromes of distal positions under diffusion control. This pattern indicates that only cytochromes in proximal positions (i.e., attached to the RC) participate in the  Fig. 1A). The trace of the PufC mutant of Rvx. gelatinosus that lacks a cytochrome subunit but retains intact periplasmic cytochromes shows limited (partial) photooxidation compared to that of wild type. As reference, 100 μM terbutryne, an interquinone electron transfer inhibitor was added to the sample to block the turnover of the RC and to force the observation of only single cytochrome oxidation events. www.nature.com/scientificreports/ observed oxidation. The oxidized cytochromes are re-reduced by the cytochrome bc 1 complex later in a much longer (~ 10 ms) time scale or longer still (~ 100 ms) if the cytochrome bc 1 complex is blocked by myxothiazol (see Fig. S4). The stepwise oxidation of donor cytochromes exhibits a damping effect characteristic of different bacterial strains. Rvx. gelatinosus demonstrates the smallest damping due to the large pool of cytochromes that are available to P + . Significantly larger damping is observed for Rba. sphaeroides 2.4.1 that lacks a bound cytochrome subunit but that has an active soluble cytochrome c. The pufC mutant of Rvx. gelatinosus presents significantly decreased steps after the first flash as might be predicted in the absence of the RC-bound cytochrome subunit but in the presence of periplasmic cytochromes (cycA and/or cycY). The addition of the quinone inhibitor terbutryne preserves the first step but eliminates the further steps in accordance with the transfer of a single electron but blockage of subsequent electron transfers on the acceptor side. The cycA cytochrome deletion mutant of Rba. sphaeroides is used as an internal calibration point to normalize the level of 1 cyt c 3+ /RC since cytochrome electron transfer has been eliminated in this strain.
(3a) Acceptor side (quinone-) dependent reactions. The subsequent flashes cannot be fired too close to each other because the primary quinone (Q A ─ ) will not have completed the interquinone electron transfer to Q B , and thus oxidation of the special pair cannot occur, and trivial damping will be observed. By measurement of the damping of the cytochrome oxidation, the characteristic electron transfer rates can be determined. The second and third flashes relative to the first and second flashes, respectively, were fired with variable delay and the observed drop of the steps (Δ2/Δ1 and Δ3/Δ2) were plotted against the time delay (Fig. 4). Although the re-opening of the closed RC (P + Q A ─ → PQ A ) depends on the rates of both the donor (k D ) and acceptor (k A ) side reactions, k A will be the bottle neck. In intact cells of Rba. sphaeroides 1.2·10 4 s ─1 rate constant (86 μs half time) was measured for the first interquinone electron transfer and 6·10 3 s ─1 rate constant (170 μs half time) was measured for the second interquinone electron transfer. Similar values were obtained in whole cells of Rvx. gelatinosus: 1·10 4 s ─1 rate constant (100 μs half time) for the first interquinone electron transfer and 7.2·10 3 s ─1 rate constant (140 μs half time) for the second interquinone electron transfer. The fact that these two strains exhibit such analogous values indicates the similar structure and function of the acceptor quinone sides despite significant difference on the donor side.
(3b) Donor-side dependent reactions. By use of external redox mediators, the pattern of cytochrome oxidation steps can be selectively modified. The addition of the reducing agent dithionite will eliminate cytochrome oxidation as a consequence of reduction of the quinone acceptor site. The oxidizing agent potassium ferricyanide, however, has a much more sophisticated effect due to its slow uptake by the cell and to the very slow and progressive establishment of a redox equilibrium between the low potential hemes in PufC in Rvx. gelatinosus. A similar effect was observed in Bl. viridis 30 . Although the actual redox potential inside the cell cannot be monitored, the persistent establishment of a redox equilibrium in the presence of ferricyanide makes it possible to probe the damping we observed in the cytochrome oxidation steps (Fig. 5). The gradual oxidation by potassium ferricyanide will modify the donor side only but the acceptor side will remain unaffected given the www.nature.com/scientificreports/ unavailability of the acceptor side to an ionic agent like potassium ferricyanide. Thus, by increasing time after ferricyanide addition, the cytochromes will be gradually oxidized, and thus fewer reduced cytochromes will be available for light-induced oxidation. This process is expressed by a gradual increase of the damping of the steps including the first steps, relative to untreated cells as well. The observation offers clear-cut support that not the acceptor side but the availability of reduced cytochromes to the RC determines the damping of the cytochrome oxidation steps under conditions used in these experiments.
(4) P + re-reduction kinetics and effect of external donor ferrocene. The cytochromes are oxidized ) directly by the light-oxidized RC dimer P + which in turn will be re-reduced (P + → P). Thus, we thought it worthwhile follow the coupling of these two redox couples by monitoring the P + signal via absorption change at 790 nm relative to 750 nm, and concomitant with cytochrome oxidation. The calibration of the P + signal with TMPD in cytochrome deficient cycA cells (see "Materials and methods") enables the quantitative comparison of P + with cyt c 2

3+
. In wild-type strains, only a negligible amount of P + remains due to the very effective electron donation by the cytochromes. However, in mutants or in wild type cells with cytochromes partly reduced by chemical means, a significant amount of oxidized dimer can be observed (Fig. 6). An increasing amount of P + is detectable after multiple flashes mirroring the damping of cytochrome oxidation we observed. The P + levels are not as stable as those observed for the cytochrome oxidation steps, revealing the effect of a relatively slow external electron donation of unknown origin in the cell. The re-reduction of P + can be accelerated in the sub millisecond time scale by the addition of a large excess (0.5 M) of the external electron donor ferrocene. As the ferrocene is an uncharged redox agent, it can easily penetrate the cell wall and get access to the interior of the bacterium. Because reduction of P + by ferrocene is collisional in nature, and the concentration of P + is larger after the third flash than after the first flash, the rate constant for diffusion-controlled re-reduction by ferrocene must also be larger after the first flash than the second flash. Thus, the accumulation of P + favours its reduction, and a slightly faster decay (increased slope) of the P + signal can be observed after each subsequent flash (see Fig. 6).

Discussion
The novelty of the present study is the detection of cytochrome oxidation in intact bacterial cells under continuous and flash illumination. The cytochrome assay has been routinely and consistently applied in artificial systems of isolated RCs with externally added cytochromes. But to our knowledge, it has never been used for whole cells with their natural cytochromes probably due to experimental difficulties. The conditions of the cytochrome turnover in isolated RCs can be easily adjusted to assure the exclusive domination of the acceptor side loss  . As a reference, the addition of the reducing agent dithionite (blue) prevented the accumulation of the oxidized dimer since the acceptor quinone side became reduced. Similarly, partial oxidation of the cytochromes enabled a detectable amount of P + . P + was quantified spectroscopically by following absorption changes upon oxidation of TMPD by P + in cytochrome mutants (see "Materials and methods") and is shown relative to the concentration of oxidized cytochromes.  31 . We will demonstrate here that the cytochrome assay can be applied for intact systems, as well, and the pattern of the observed cytochrome oxidation is controlled by the loss processes on both sides of the RC. The discussion will focus on the understanding of the damping of the cytochrome oxidation and what information can be obtained for loss parameters on the donor side. The observed kinetics and stoichiometry of the oxidation of cytochromes are closely related to the turnover of the RC. Illumination in the form of either continuous or flash excitation closes the RC which will be re-opened after a series of dark reactions both on the donor and the acceptor sides. A single link of a chain of reactions for the first flash is summarized in Fig. 7. Because of the large values of the reaction rate constants (> (1 ms) −1 ), the influence of the cytochrome bc 1 complex is negligible (see Fig. S4). The quinone acceptor can accumulate 3 electrons at most before quinone exchange at the Q B site, so the entire reaction scheme would consist of a chain of three such links with one, two, or three electrons in the acceptor complex. The reactions on the donor side are more complex. In mutants that lack a cytochrome subunit (Rba. sphaeroides), the oxidation of the cytochromes by P + requires two consecutive events: binding of the reduced cytochrome to the docking site of the RC followed by electron transfer between the redox partners P + and cyt c 2 2+ . As soon as the cytochrome becomes oxidized, it should leave the docking site and should be exchanged by a reduced one from the cytochrome pool. Gerencsér et al. mixed horse heart cytochrome c and detergent-solubilised RC-only complexes in solution and showed that dissociation of the ET complex is the bottleneck of cytochrome turnover, and the exchange of the cytochrome is a product-inhibited process 32 . Several other studies showed preferential binding of oxidized cytochrome c 2 to RCs 33 , to the extent that the oxidized cytochrome impeded the access of reduced cytochrome c 2 to its docking site on the RC. Using single molecule force spectroscopy, surprisingly large forces between 112 and 887 pN were required to pull apart the P-oxidized cytochrome c 2 complex 34 . They found a duration of milliseconds for the persistence of the post-ET oxidized cytochrome c 2 -P "product" state compatible with rates of cyclic photosynthetic ET. Given the hydrophobic surface interaction between RC and its tetraheme subunit 20 we speculate that non-native interactions between periplasmic cytochromes and the RC might be more transient. However, this result is not supported by our measurements: the cytochrome exchange time should be smaller because subsequent saturating flashes with delay of 400 μs were already able to turn over the RC completely.
If a tetraheme cytochrome subunit is firmly attached to the RC (Rvx. gelatinosus), the exchange of the periplasmic reduced cytochrome c 2 will occur at the docking site of the subunit. In all cases, the bottle neck of the accumulation of oxidized cytochromes is the availability of the reduced cytochromes including both exchange and electron transfer processes.
In the case of continuous and strong illumination, the solution of the linear differential (rate) equations derived from consecutive coupling of a chain of reaction schemes with 0 to 3 electrons in the acceptor complex offers kinetics with characteristic phases (photochemical, electron-transfer limited and saturation). This is similar to what we have demonstrated experimentally (Fig. 2). Because the light excitation is continuous, the system must be eventually driven from the dark-adapted state to its maximum capacity, i.e., 3 electrons in the acceptor side and 3 cyt c 2 3+ /RC on the donor side (see Fig. S3). In the case of the flash excitation experiments, we have applied the model based on the initial branching and final unification of the symmetrical reaction paths as described in Fig. 7. The kinetics of the re-opening of the RC therefore includes the two rate constants k D and k A symmetrically. The analytical form can be obtained from the solution of the set of linear differential equations with proper initial conditions: Figure 7. A reaction scheme for the first flash-induced closing and opening of the RC is shown with light excitation and dark electron transfer processes indicated. The RC is closed by a flash and can be re-opened by simultaneous donor and acceptor side reactions having rate constants k D and k A , and equilibrium constants K D and K A . This scheme can be considered as a link in a chain of reaction schemes. Since both reactions depend on the redox state of the acceptor complex that can hold between 0 and 3 electrons, the second and third flash would show the semi-reduced (Q A ─ and Q B ─ and fully-reduced Q B H 2 ) states, respectively. The various RC states under continuous illumination or after subsequent saturating flashes can be described by coupling these links. Here k A and k D denote the rate constants assuring the opening the RC having different redox states on the acceptor and donor sides, respectively. As expected, Eq. (1) is symmetric to the two sides and implies that the contribution of both sides is required to re-open the RC. The decomposition of the kinetics of cytochrome oxidation (i.e. the increase of cyt c 2 3+ ) by delay of the second flash relative to the first (or the third relative to the second) according to Eq. (1) enables the separation of the contributions of the acceptor and donor-sides (Fig. 4). Our results show that the acceptor side reactions were the rate limiting steps both in the one and in the two electron states in the bacterial strains studied here. The first interquinone electron transfer is a factor of 2 faster (86 μs) than the second interquinone electron transfer (170 μs). This method of delayed flashes delivers reliable values for the first and second interquinone electron transfer times in intact cells of photosynthetic bacteria hardly obtained by any other means.
The stationary solution of the set of linear differential equations of the scheme in Fig. 7 describes the steps of cytochrome oxidation measured in our experiments. Using the thermodynamic box of the energy levels of the different RC states originating from branching and unification of the electron pathways, we obtain for each period between flashes: where Δi denotes the step of cytochrome oxidation after the ith flash (i = 1, 2 or 3), K Di and K Ai are the donor and acceptor side equilibrium constants, respectively. K Di includes the binding/unbinding (exchange) and the subsequent oxidation of cytochromes after the ith flash i.e., in the state of i electrons on the acceptor sides (or i-holes on the donor side). For example, . K Ai expresses the electron equilibrium constants between Q A and Q B if the acceptor side is reduced by one (i = 1) or by two (i = 2) electrons (K A refers to the re-oxidation of Q A ─ ). Equations (2)-(4) indicate clearly that the steps depend on the equilibrium constants on both the acceptor and the donor sides. Their contributions can be separated and further simplified: the equilibrium constants on the acceptor side are much larger than 1 at each flash: K A1 > > 1 and K A2 > > 1. This comes from the facts that the turnover of the acceptor side is highly effective due to bound quinones (no docking is required before the electron transfer) and to the large redox gap (large driving force) for the electron transfer. Consequently, the terms referred to the acceptor side (the first bracket) can be neglected (taken as 1) and the damping of the oxidation steps can be attributed exclusively to K D 's, to the availability of cytochromes (second bracket) which can be expressed by the measured cytochrome oxidation steps Δ1, Δ2 and Δ3: K D serves as a quantitative measure of the availability of reduced cytochromes. With increasing flash number, the level and therefore the availability of the reduced cytochromes progressively decreases which is reflected by the gradual decrease of the K D values. Indeed, this tendency is observed in our experiments. Due to the correlation between K D and the availability of reduced cytochrome, the drop of K D was observed upon increase of the flash number (Fig. 3) or by titration with the oxidizing redox agent potassium ferricyanide (Fig. 5).
In this work, we offer a significant extension of the standard "cytochrome assay" used to detect the photochemical activity of the RC in artificial systems (i.e., isolated RCs and cytochromes in vitro). Our methods and results enable the quantitative description of the availability of reduced cytochromes to the RC, which in turn determines the capacity of the cytochrome pool to re-reduce the oxidized P + dimer. By analysis of the damping, we observed in successive steps of flash-induced cytochrome oxidation, we could get closer to a solution of the long-debated structural and functional questions surrounding electron transfer between the RC and periplasmic donor cytochromes in different strains and mutants of intact, whole cells of photosynthetic bacteria.

Materials and methods
Bacterial strains, growth conditions and culture additions. Bacterial strains and plasmids and oligonucleotide primer sequences used in this work are listed in Tables 1 and 2, respectively. Purple nonsulfur photosynthetic bacteria Rba. sphaeroides strain 2.4.1 35 and Rvx. gelatinosus wild type 12 were grown for spectrophotometric analysis in Siström's medium 36 in completely filled screw top vessels without  www.nature.com/scientificreports/ oxygen (anaerobic growth) under irradiance of 13 W m −2 from tungsten lamps 27 . The cells were harvested at an exponential phase of the growth at cell concentration of ~ 10 8 cell mL -1 and were bubbled with nitrogen for 15 min before measurements to preserve the anoxic conditions. Otherwise, Rba. sphaeroides strains were grown aerobically at 30 °C in YCC medium 37 and Rvx. gelatinosus was grown aerobically at 30 °C in RCV medium 38 . Media was supplemented when appropriate with kanamycin (50 μg mL -1 ), fructose (30 mg·mL ─1 ), and DMSO (120 mM). Conjugal transfer of strains from E. coli to Rba. sphaeroides was performed as described previously, and counter-selection against S17-1 conjugal donors was achieved by addition of tellurite (100 μg mL -1 ) 39 . Escherichia coli strains were grown at 37 °C in LB medium 31 supplemented with antibiotics when appropriate; kanamycin (50 μg mL -1 ) and ampicillin (100 μg mL -1 ).
Construction of in-frame deletions of cycA, cytC4, and pufC. The deletions of portions of genes encoding periplasmic cytochromes were planned using published cytochrome crystal structures 19,40 and molecular modeling by Phyre2 41 , to identify functionally critical residues. Strain JS2293Δ, containing an in-frame deletion of the cycA gene encoding cytochrome c 2 in Rba. sphaeroides (NCBI Reference sequence WP_002720461.1), was genetically constructed essentially as described previously 42 . An 840 bp fragment of DNA containing the cycA reading-frame and flanking DNA was generated by PCR (Phusion polymerase, Thermo Scientific) in 5X GC Phusion Buffer using specific primers cycA_F and cyc_R. Digestion of the resulting PCR product with EcoRI and PstI and ligation into similarly digested pUC19 produced plasmid pJS280. The wild-type cycA gene contains a single BamHI site, so we introduced a second BamHI site by site-directed mutagenesis such that excision of the resulting BamHI fragment and re-ligation would result in an in-frame deletion of codons 29 through 105 of the cycA gene. This deletion was generated by PCR with mutagenic primers cycA_SDM_F and cycA_SDM_R, to produce plasmid pJS286. Following verification by dideoxy sequencing, the BamHI fragment was excised and religated, resulting in plasmid pJS292Δ. The EcoRI-PstI fragment bearing the in-frame deletion of cycA was transferred to the suicide vector pKanMobSacB to produce plasmid pJS293Δ. Transfer of this fragment to the chromosome of wild-type Rba. sphaeroides was accomplished as described previously 42 , except that counterselection against the JM109 donor was achieved by plating exconguates on YCC containing kanamycin and tellurite as described above. Secondary recombinants were selected by passage on YCC containing 10% sucrose, and double recombinants that yielded the deletion were screened first for loss of the kanamycin resistance marker, and were subsequently confirmed by dideoxy sequence analysis of a PCR product generated by flanking primers cycA_SEQ_F and cycA_SEQ_R.
Deletion of the cytC4 gene (NCBI Reference sequence WP_009564385.1) was accomplished similarly: a 1.2 kb fragment of DNA containing the cytC4 reading-frame and flanking DNA was generated by PCR using specific primers cytC4_F and cytC4_R. This PCR product was digested with EcoRI and PstI and ligated into similarlydigested pUC19 to produce plasmid pJS281. Two in-frame BamHI sites were introduced sequentially into pJS281 using mutagenic primers. First, cytC4_SDM_UP_F and cytC4_SDM_UP_R were used to introduce a BamHI site on the 5' end of the gene, to produce plasmid pJS287. This plasmid was used as template with mutagenic primers cytC4_SDM_DN_F and cytC4_SDM_DN_R, to produce plasmid pJS294. Following dideoxy sequence verification, the internal BamHI segment was excised and the plasmid religated to produce plasmid pJS297Δ. As above, the EcoRI-PstI fragment bearing the in-frame deletion of cytC4 was transferred to the suicide vector pKanMobSacB to produce plasmid pJS302Δ. Stable recombination of the cytC4 in-frame deletion into strain JS2293Δ produced a double deletion strain JS2302Δ. The genomic sequence of this mutant was confirmed by dideoxy sequencing of a PCR product generated by flanking primers cytC4_SEQ_F and cytC4_SEQ_R.
Deletion of the pufC gene in Rvx. gelatinosus (NCBI Reference sequence WP_231384551.1) was achieved by PCR amplification of two segments of DNA immediately upstream (LHS) and downstream (RHS) of pufC. These two segments were engineered so that when fused, an in-frame deletion of pufC would be constructed. The upstream LHS segment was generated with PCR primers pufC_LHS_F and pufC_LHS_R, and the downstream segment was generated with PCR primers pufC_RHS_F and pufC_RHS_R. The LHS PCR product was digested with XhoI and BamHI, the RHS product was digested with EcoRI and BamHI, and both pieces were cloned into pBluescript that was digested with XhoI and EcoRI, producing plasmid pJS314Δ. Following dideoxy sequence confirmation, the LHS::RHS fusion was excised from pBluescript by XhoI EcoRI digest and cloned into SalI-EcoRI-digested pKanMobSac to produce pJS315Δ. Following mobilization of this construct to the chromosome of Rvx. gelatinosus as described above, correct construction of strain JS2315Δ was verified by sequencing a PCR product generated with primers pufC_SEQ_F and pufC_SEQ_R.
Rvx. gelatinosus grows well under respiratory conditions (about 2 h of the doubling time) as well as under photosynthetic conditions (about 2.5 h of the doubling time). The photosynthetic growth rate of the Rvx. gelatinosus mutant lacking the cytochrome subunit (PufC) was roughly estimated to be about a half of that of the wild type, showing that the cytochrome subunit is not essential but is advantageous for photosynthesis.

Chemicals.
Terbutryne was used at 120 μM concentration to block the Q A → Q B interquinone electron transfer in the RC as terbutryne competes with quinone for the Q B -binding site. Myxothiazol was used in 10 μM concentration to inhibit the cyclic electron transfer, as it is a competitive inhibitor of ubiquinol and binds at the quinol oxidation (Q o ) site of the cytochrome bc 1 complex.

Preparation of chromatophores.
Photosynthetic membranes of chromatophores of wild-type and mutant purple non-sulphur bacteria Rb. sphaeroides were isolated from fresh cells of a 5-6-day-old culture washed with sodium phosphate buffer (100 mM, pH 7.5). The cells were broken by ultrasonic disintegration followed be fractional centrifugation. The intact cells and large particles were separated by centrifugation at 40,000 g for 15 min. The chromatophores obtained by centrifugation of the supernatant at 144,000 g for 120 min Scientific Reports | (2022) 12:14298 | https://doi.org/10.1038/s41598-022-18399-y www.nature.com/scientificreports/ were suspended in 50 mM sodium phosphate buffer (pH 7.5). Before measurements, they were diluted with the buffer to a concentration corresponding to ~ 10 μM photoactive pigment.

Light-induced absorption changes.
The experiments were carried out by a home-constructed spectrophotometer 35 with some modifications. The absorption changes were evoked either by high power (2 W) laser diodes (typical wavelength of 808 nm, Roithner LaserTechnik LD808-2-TO3) of variable duration (up to 20 ms) or by a train of three saturating Xe flashes of duration 3 μs fired close (400 μs) to each other. Each Xe flashes (alone) were saturating checked by choosing no delay among the flashes. After passing through appropriate cut-off glass filters, the Xe flashes illuminated the sample in a 1 × 1 cm quartz cuvette from three different directions (see Fig. S1). A stabilized 130 W tungsten lamp was the light source of the measuring light whose wavelength and bandwidth were selected by a monochromator (Jobin-Yvon H-20 with concave holographic grating). The transmitted measuring light was detected by a photomultiplier (R928 Hamamatsu) protected from the scattered exciting light by filters. The detector was connected to a differential amplifier and to a digital oscilloscope (Tektronix TDS 3032). The time resolution of the device was limited to 50 μs. The light-induced signals of the chromophores or intact cells measured at characteristic wavelengths were always related to those at reference wavelengths. P/P + related absorption change coefficient. To quantify the amount of light-induced oxidized P + dimer in wild-type strains, flash-induced absorption changes of the cytochrome-less cycA mutant were measured in the absence (P/P + : 790 nm vs. 750 nm) and in the presence of the electron donor TMPD. (TMPD/TMPD + : 611 nm vs. 675 nm). Using a known absorption change coefficient for TMPD (Δε TMPD = 12.2 mM −1 cm −1 ), we obtained Δε P/P+ = 70 ± 5 mM −1 cm -1 . The amount of oxidized cytochrome was determined from the absorption change coefficient Δε(cyt c 2+ /cyt c 3+ (551-540 nm)) = 21.1 mM −1 cm −126 .
The intact cells were re-suspended in fresh medium, anaerobically adapted in the dark and bubbled with nitrogen for 15 min and enclosed by a glass cap to permit flash excitation from the top prior to measurement (see Fig. S1). To increase the signal-to-noise ratio of the absorption changes, the average of 32 traces with repetition rate of (0.2 s) −1 were taken. All measurements were done at room temperature.

Data availability
Data generated by dideoxy sequence analysis of the in-frame deletions utilized in this study have been deposited to the Sequence Read Archive (SRA) at the National Center for Biotechnology Information, with Bioproject accession numbers as follows: Rba. sphaeroides cytC4 (PRJNA847588), Rba. sphaeroides cycA (PRJNA847566) and Rvx. gelatinosus pufC (PRJNA847559).